Minimal pure injective resolutions of flat modules

DOI10.1016/0021-8693(87)90200-6zbMath0614.13005OpenAlexW2008940188WikidataQ123120993 ScholiaQ123120993MaRDI QIDQ1820206

Edgar E. Enochs

Publication date: 1987

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(87)90200-6

zbMATH Keywords

noetherian ringchange of ring theoremprojective dimension of flat modulespure injective minimal resolution of a flat module

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Injective and flat modules and ideals in commutative rings (13C11)

Related Items

Minimal pure injective resolutions of complete rings, Acyclicity of Complexes of Flat Modules, Countably generated flat modules are quite flat, Cosupport computations for finitely generated modules over commutative noetherian rings, Covers by flat modules and submodules of flat modules, Modules with cosupport and injective functors., Some remarks on global dimensions for cotorsion pairs., Complete flat modules, Gorenstein \(FI\)-flat dimension and relative homology, Minimal semi-flat-cotorsion replacements and cosupport, Homological properties of pure injective resolutions, Localization functors and cosupport in derived categories of commutative Noetherian rings, Minimal Flat Resolutions of Artinian Modules, On invariants dual to the Bass numbers, The existence of envelopes

Cites Work

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• Flat Covers and Flat Cotorsion Modules